Students learn about applying multiple circle theorems to solve complex problems. The relevant circle theorems are angle about a centre and circumference, angles in a cyclic quadrilateral and angles in the same segment. More able students combine the various theorems to derive a proof.

The start of the lesson is used ot recap the individual theorems so students can combine them later in the lesson. The plenary assesses progress through a typical exam style question.

**Differentiated Learning Objectives**

- All students should be able to apply a single circle theorem.
- Most students should be able to apply multiple circle theorems to solve complex problems
- Some students should be able to prove the angle at the centre, cyclic quadrilaterals and angles in the same segment circle theorems.